Being resourceful

  • Two and Two
    problem
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    Two and Two

    Age
    7 to 16
    Challenge level
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    How many solutions can you find to this sum? Each of the different letters stands for a different number.

  • Pocket money
    problem
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    Pocket Money

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Which of these pocket money systems would you rather have?

  • Quadrilaterals game
    game
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    Quadrilaterals Game

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    A game for 2 or more people, based on the traditional card game Rummy.

  • A green frog.
    problem
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    Frogs

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    How many moves does it take to swap over some red and blue frogs? Do you have a method?

  • Shady Symmetry
    problem
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    Shady Symmetry

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    How many different symmetrical shapes can you make by shading triangles or squares?

  • Special Numbers
    problem
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    Special Numbers

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

  • Consecutive Seven
    problem
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    Consecutive Seven

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

  • Isosceles Triangles
    problem
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    Isosceles Triangles

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

  • Odds and Evens
    problem
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    Odds and Evens

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Are these games fair? How can you tell?

  • How far does it move?
    problem
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    How Far Does It Move?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.